Factor completely
486+108x+6x^2

Thank you!

Step-by-step explanation:

total = 315+101+108+32 = 556

total ratio = 9+3+3+1 = 16

1.

h0 : data follows ratio 9:3:3:1

h1: data does not follow ratio 9:3:3:1

2. expected counts under h0

Ei = expected count, i = 1,2,3,4

count 315

ratio = 9

Ei = 9*556/16

= 312.75

count 101

ratio = 3

Ei = 3*556/16

= 104.25

count 1o8

Ei 3 x 556/16

= 104.25

count 32

= 1*556/16

= 34.75

total = 312.75+104.25+104.25+34.75 = 556

c. value of chi² test stat

a. Oi = 315

Ei = 312.75

X² = (315-312.75)²/312.75

= 0.01618705

b. (101-104.25)²/104.25

x² = 0.101318944

c. (108-104.25)²/104.25

= 0.134892086

d. (32-34.75)²/34.75

= 0.217625859

Chi² test stat = 0.01618705+0.101318944+0.134892086+0.217625859

= 0.470023981

n = 4

df = 4-1 = 3

test stat = 0.4700

critical x² = 7.814736

p value = 0.9254

α < pvalue

0.05<0.9254

we therefore fail to reject the h0. we conclude that it follows 9:3:3:1

d. yes it agrees with this law

Answer:

f(2) = 75

f(6) = 4091

Step-by-step explanation:

Answer:

46

Step-by-step explanation:

Answer:

46 bc the angles across from each other are the same in a parallelogram

Answer:

1975------ 4.8%

1990 ------ 11.48%

1985 ------ 8.51%

Step-by-step explanation:

Given

[tex]P(t) = 0.04t + 4.6[/tex] if 0 ≤ t < 10

[tex]P(t) = -0.01005t^2 + 0.945t - 3.4[/tex] if 10 ≤ t ≤ 30

Where

t:=0 implies year = 1970

Solving (a): Beginning of 1975.

First, we calculate the value of t

[tex]t = 1975 - 1970[/tex]

[tex]t = 5[/tex]

This falls in the range: 0 ≤ t < 10

So:

[tex]P(t) = 0.04t + 4.6[/tex]

[tex]P(5) = 0.04 * 5 + 4.6[/tex]

[tex]P(5) = 4.80[/tex]

Solving (b): Beginning of 1990.

[tex]t = 1990 - 1970[/tex]

[tex]t = 20[/tex]

This falls in the range: 10 ≤ t ≤ 30

So:

[tex]P(t) = -0.01005t^2 + 0.945t - 3.4[/tex]

[tex]P(20) = -0.01005*20^2 + 0.945*20 - 3.4[/tex]

[tex]P(20) = 11.48[/tex]

Solving (c): Beginning of 1985

[tex]t = 1985 - 1970[/tex]

[tex]t = 15[/tex]

This falls in the range: 10 ≤ t ≤ 30

So:

[tex]P(t) = -0.01005t^2 + 0.945t - 3.4[/tex]

[tex]P(15) = -0.01005*15^2 + 0.945*15 - 3.4[/tex]

[tex]P(15) = 8.51375[/tex]

[tex]P(15) = 8.51[/tex]

Answer:

the answer is 32

Step-by-step explanation:

Answer:

32

Step-by-step explanation:

Let's do it step by step:

[tex]-16(-5\frac{1}{2} \div 2\frac{3}{4}) = -16(\frac{-5\frac{1}{2}}{2\frac{3}{4}}) = -16(\frac{-\frac{11}{2}}{\frac{11}{4}}) = -16(-\frac{4}{2}) = -16\cdot(-2) = 32[/tex]

Answer:

10:35

11:35

12:35

1:35

2:35

=Thats 4 hours

and then 40-35=5

So 4hours 5 minutes

Answer:

yeah

Step-by-step explanation:

im reply cause I want to ask a questionbx

Answer:

C

Step-by-step explanation:

Area = (8 + 14) x 1/2 x 9

Area = 22 x 1/2 x 9

Area = 11 x 9

Area = 99

Hope that helps!

-Sabrina

Answer:

log150=2.1716091259

Step-by-step explanation:

Press it on your calculator

Answer:

C. 8 buses

Step-by-step explanation:

152/20=7 R 12

We can't have the 12 students not go! So we need 8 buses.

Hoped I helped, have a nice day!

The answer would be x=18. First you set it up by setting up an equation;

166=7x+40. Then you subtract 40 from each side. Last, you divide both sides by 7 and you should get x=166 or 166=x.  

Answer:

Step-by-step explanation:

vertex:(h,k)

therefore

vertex:(-1,4)

axis of symmetry:x=h

therefore

axis of symmetry:x=-1

vertex form of quadratic equation:

therefore

it's to notice that we don't know what a is

therefore we have to figure it out

the graph crosses y-asix at (0,3) coordinates

so,

3=a(0+1)²+4

simplify parentheses:

[tex]3 = a(1 {)}^{2} + 4[/tex]

simplify exponent:

[tex]3 = a + 4[/tex]

therefore

[tex]a = - 1[/tex]

our vertex form of quadratic equation is

let's simplify it to standard form

simplify square:

[tex]y = - ( {x}^{2} + 2x + 1) + 4[/tex]

simplify parentheses:

[tex]y = - {x}^{2} - 2x - 1 + 4[/tex]

simplify addition:

[tex]y = - {x}^{2} - 2x + 3[/tex]

therefore our answer is D)y=-x²-2x+3

the domain of the function

[tex]x\in \mathbb{R}[/tex]

and the range of the function is

[tex]y\leqslant 4[/tex]

zeroes of the function:

[tex] - {x}^{2} - 2x + 3 = 0[/tex]

[tex] \sf divide \: both \: sides \: by \: - 1[/tex]

[tex] {x}^{2} + 2x - 3 = 0[/tex]

[tex] \implies \: {x}^{2} + 3x - x + 3 = 0[/tex]

factor out x and -1 respectively:

[tex] \sf \implies \: x(x + 3) - 1(x + 3 )= 0[/tex]

group:

[tex] \implies \: (x - 1)(x + 3) = 0[/tex]

therefore

[tex] \begin{cases} x_{1} = 1 \\ x_{2} = - 3\end{cases}[/tex]

Answer: The account that compounds daily.

Step-by-step explanation: If you reinvest your money more frequently, then you will also be able to earn interest on the interest that you earned the previous day and so on.

Answer:

2/18 = 1/9

Step-by-step explanation:

2/3 x 1/3 = 2/9

2/9 x 1/2 = 1/9

Answer:

1 is 64

2 is 85

3 is 56 hope this helps  

Step-by-step explanation:

also how give brainly i want to give u brainly

Answer:

43.96

Step-by-step explanation:

Well, the first step is finding out the diameter. And then the basic outline is d x 3.14. So I simply just punched in 14 x 3.14 in my calculator.

Answer:

14π cm

Step-by-step explanation:

Circumference of the circle

= 2πr

= 2π(14/2)

= 14π cm

Answer: 1 is not in the domain of f g.

Step-by-step explanation:

Answer:

My answer may be wrong, but from what I did I think its B

Step-by-step explanation:

Answer:

fifteen percent xx

Step-by-step explanation:

Answer:

3 feet

Step-by-step explanation:

If the length is 4 feet, there are two lengths so you get 8

14-8= 6

Because there are two widths, you do 6 divided 2 and you get 3 feet

Answer:

The formula to find the value of the side is X ^ 3 = 10, and the side measures 2.15 cm.

Step-by-step explanation:

Given that a Rubik's Cube has a volume of 10 cm, to write an equation to find the length of the sides and find the length of the side to the nearest tenth, the following calculations must be performed, knowing that the volume of a cube is obtained to enhance one of its sides to the third:

X ^ 3 = 10

X = 3√ 10

X = 2.15

Thus, the formula to find the value of the side is X ^ 3 = 10, and the side measures 2.15 cm.

Explanation is in the file

tinyurl.com/wpazsebu

Answer: The car is worth $ 2,588.6 after two years than after 3 years.

Step-by-step explanation:

x=2

v(x)=25,000(0.86)^2

v(x)=18,490

x=3

v(x)=25,000(0.86)^3

v(x)=15,901.4

18,490 - 15,901.4= 2588.6

Answer:

Rational and whole numbers

Step-by-step explanation:

7x7=49 which is a whole number which automatically makes it rational!

Answer:

your answer will be B. 46

Step-by-step explanation:

hope it helps you...

have a great day!!!

Answer:

Point Q:  ( 6, 6)

Step-by-step explanation:

    (10, 10)

- 2 (8, 8)

      ( 6, 6)

Answer:

Point Q is at (6, 6).

Step-by-step explanation:

Segment QR has a midpoint M at (8, 8).

Point R is at (10, 10), and we want to determine the location of Point Q.

First, recall that the midpoint is given by the formula:

[tex]\displaystyle M=\Big(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}\Big)[/tex]

We will let R(10, 10) be (x₁, y₁). We are also given that M is at (8, 8). Therefore:

[tex]\displaystyle (8, 8)=\Big(\frac{10+x}{2}, \frac{10+y}{2}\Big)[/tex]

This gives us two cases:

[tex]\displaystyle \frac{10+x}{2}=8\text{ and } \frac{10+y}{2}=8[/tex]

Solve for each case. Multiply both sides by 2:

[tex]10+x=16\text{ and } 10+y=16[/tex]

And we can subtract 10 from both sides:

[tex]x=6\text{ and } y=6[/tex]

Therefore, Point Q is at (6, 6).